video1.0<iframe src="https://www.loom.com/embed/81e3fe88072246518a9f1a9f88403b88" frameborder="0" width="1838" height="1378" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe>13781838Loomhttps://www.loom.com13781838https://cdn.loom.com/sessions/thumbnails/81e3fe88072246518a9f1a9f88403b88-0a55534732d1ca70.gif2026.676In this video, I walk through several graph theory concepts, focusing on Hamiltonian cycles, planarity, and isomorphism. I explain the definition of a Hamiltonian cycle, emphasizing the importance of visiting every vertex exactly once and returning to the start. I also demonstrate how to redraw a graph to show its planarity and discuss why the Planarity Algorithm cannot be applied due to the absence of a Hamiltonian cycle. Additionally, I analyze a given graph to determine its properties, including whether it is Eulerian or semi-Eulerian, and conclude that it is neither. I encourage viewers to carefully consider the definitions and properties discussed as they apply them to similar problems.